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Finding the Fourth Proportional to 446.46, 664.94 and 439.72

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Solution

The fourth proportional to 446.46, 664.94 and 439.72 is: 654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.46 : 664.94 = 439.72 : x
  2. Step 2: Convert to fraction form
    446.46/664.94 = 439.72/x
  3. Step 3: Cross multiply
    446.46x = 664.94 × 439.72
  4. Step 4: Simplify right side
    446.46x = 292,387.42
  5. Step 5: Solve for x
    x = 292,387.42/446.46
  6. Step 6: Final answer
    x = 654.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.